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On the Coupling of Kinetic Thermomechanical Cucker-Smale Equation and Compressible Viscous Fluid System
Journal of Mathematical Fluid Mechanics ( IF 0.970 ) Pub Date : 2019-12-26 , DOI: 10.1007/s00021-019-0466-x
Young-Pil Choi, Seung-Yeal Ha, Jinwook Jung, Jeongho Kim

In this paper, we pressent a global well-posedness of strong solutions and their emergent behaviors for the coupled kinetic-fluid system consisting of kinetic thermomechanical Cucker-Smale equation and compressible isentropic Navier-Stokes system. Particle and fluid systems are coupled via the drag force which is responsible for the asymptotic velocity alignment between kinetic equation and fluid system. For the well-posedness and velocity alignment, we employ an energy method and Lyapunov function method under suitable conditions on initial data and system parameters.
更新日期:2019-12-26

 

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